On some analytic properties of a function associated with the Selberg class satisfying certain special conditions
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arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2023
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| _version_ | 1866910658401927168 |
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| author | Iwata, Hideto |
| author_facet | Iwata, Hideto |
| contents | In 2001, M.Rekos described the analytic behavior for a function $f(z)$ connected with the Euler totient function for Im$z > 0$ (see (1.2)) imitating the previous research of [1] and [3]. In the present paper, for Im$z > 0$ we describe the analytic behavior of the generalized function $f(z,F)$ (see (2.1)), where the function $F$ belongs to the subclass of the Selberg class which has a polynomial Euler product and satisfies some special conditions. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2301_03823 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | On some analytic properties of a function associated with the Selberg class satisfying certain special conditions Iwata, Hideto Number Theory In 2001, M.Rekos described the analytic behavior for a function $f(z)$ connected with the Euler totient function for Im$z > 0$ (see (1.2)) imitating the previous research of [1] and [3]. In the present paper, for Im$z > 0$ we describe the analytic behavior of the generalized function $f(z,F)$ (see (2.1)), where the function $F$ belongs to the subclass of the Selberg class which has a polynomial Euler product and satisfies some special conditions. |
| title | On some analytic properties of a function associated with the Selberg class satisfying certain special conditions |
| topic | Number Theory |
| url | https://arxiv.org/abs/2301.03823 |